Localization of discontinuity surfaces of the scattering coefficient according to the time-angular distribution of the radiation flux density

P. A. Vornovskikh ; I. V. Prokhorov

Sibirskie èlektronnye matematičeskie izvestiâ, Tome 20 (2023) no. 2, pp. 1079-1092.

Résumé

In the paper the inverse problem for the nonstationary radiative transfer equation is formulated and investigated. It consists in determining the discontinuity surfaces of the scattering coefficient by the time-angular distribution of the radiation flux density at a given point in space. A numerical method for localizing the lines of discontinuity of the required coefficient in any plane is proposed. On a number of numerical experiments applied to high-frequency acoustic sounding of an inhomogeneous fluctuating ocean, the operability of the algorithm is demonstrated and its shortcomings due to the measurement data error are indicated.

Détail

Keywords: radiative transfer equation, inverse problem, scattering coefficient, function discontinuity surfaces.

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